Pith Number

pith:YT5MPSEK

pith:2012:YT5MPSEKF6YUTU4ZH2PJR6LHDU

not attested not anchored not stored refs pending

Integrating Hasse-Schmidt derivations

Daniel Hoffmann, Piotr Kowalski

arxiv:1212.5788 v3 · 2012-12-23 · math.AC · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT5MPSEKF6YUTU4ZH2PJR6LHDU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:45:21.429297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4fac7c88a2fb149d3993e9e98f9671d3419bc2a881abe8c4c22ae6fd00cae92

Aliases

arxiv: 1212.5788 · arxiv_version: 1212.5788v3 · doi: 10.48550/arxiv.1212.5788 · pith_short_12: YT5MPSEKF6YU · pith_short_16: YT5MPSEKF6YUTU4Z · pith_short_8: YT5MPSEK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YT5MPSEKF6YUTU4ZH2PJR6LHDU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c4fac7c88a2fb149d3993e9e98f9671d3419bc2a881abe8c4c22ae6fd00cae92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b07f7e0382d31b330272546e8b98e2f335a30400b653ab5e49fbb23c914138",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-12-23T12:21:40Z",
    "title_canon_sha256": "8d4eed3d765e1b8ca2c82eab9755800a36f9400c18a2d24fb5027fdd65127e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5788",
    "kind": "arxiv",
    "version": 3
  }
}